If $\mathrm{P}$ is the set of all real numbers $\alpha$ such that the product of the lengths of perpendiculars from $(\alpha, 1)$ to the pair of straight lines $3 x^2+7 x y+2 y^2=0$ is $\frac{\sqrt{2}}{5}$ then the sum of the elements in $\mathrm{P}$ is